Complete Question
Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Answer:
a. 0.2231
b. 0.1266
c. 0.6591
d. 252 people
Step-by-step explanation:
We solve using the z score formula of
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 183 cm
σ is the population standard deviation = 10.5 cm
a.What is the probability that a Dutch male is shorter than 175 cm?
This is interpreted as when x < 175 cm
Hence:
z = 175 - 183/10.5
z = -0.7619
Probability value from Z-Table:
P(x<175) = 0.22306
Approximately ≈ 0.2231
b.What is the probability that a Dutch male is taller than 195 cm?
This is interpreted as when x > 195 cm
Hence:
z = 195 - 183/10.5
z = 1.14286
Probability value from Z-Table:
P(x<195) = 0.87345
P(x>195) = 1 - P(x<195) = 0.12655
Approximately ≈ 0.1266
c.What is the probability that a Dutch male is between 173 and 193 cm?
For x = 173
z = 173 - 183/10.5
z = -0.95238
Probability value from Z-Table:
P(x = 173) = 0.17045
For x = 193
Hence:
z = 193 - 183/10.5
z = 0.95238
Probability value from Z-Table:
P(x= 193) = 0.82955
Hence, the probability that a Dutch male is between 173 and 193 cm
P(x = 193) - P(x = 173)
0.82955 - 0.17045
= 0.6591
d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
This is interpreted as when x > 190 cm
Hence,
z = 190 - 183/10.5
= 0.66667
Probability value from Z-Table:
P(x<190) = 0.74751
P(x>190) = 1 - P(x<190)
= 0.25249
Therefore, the number of people we would expect to be taller than 190 cm is
Random number of samples × Probability
= 1000 × 0.25249
= 252.49 people
Approximately≈ 252 people
The student council has 30 male members and 25 female members. What is the ratio of male student council members to female?
Assume that Z has a standard normal distribution. Determine the value for z that solves each of the following.
a. P(-z < Z < z) = 0.95 (Round your answer to two decimal places (e.g. 98.76))
b. P(-z < Z < z) = 0.99 (Round your answer to two decimal places (e.g. 98.76))
c. P(-z < Z < z) = 0.68 (Round your answer to three decimal places (e.g. 98.765))
d. P(-z < Z < z) = 0.9973 (Round your answer to two decimal places (e.g. 98.76))
Answer:
a) P ( - 1.96 < Z < 1.96 )
b) P ( - 2.58 < Z < 2.58)
c) P ( -0.995 < Z < 0.995 )
d) P ( - z < Z < z ) = P ( ( Z ± 3σ ) then that is close to 1
Step-by-step explanation:
a) P ( - z < Z < z ) = P ( - 1.96 < Z < 1.96 )
CI = 95 % significance level α = 5 % α = 0.05 α/2 = 0.025
z = 1.96
b) P ( - z < Z < z ) = P ( - 2.58 < Z < 2.58)
CI = 99 % significance level α = 1 % α = 0.01 α/2 = 0.005
z = 2.58
c) P ( - z < Z < z ) = P ( -0.995 < Z < 0.995 )
CI = 68 % significance level α = 32 % α = 0.32 α/2 = 0.16
z ≈ 0.9954
We interpolate in this case
1 ⇒ 0.1587
0.99 ⇒ 0.1611
0.01 ⇒ 0.0024
x ⇒ 0.0013 x = 0.01 *0.0013 / 0.0024
x = 0.005416
and z = 0.99 + 0.005416
z = 0.9954
d) P ( - z < Z < z ) = P ( - 0.00 < Z < 0. 00)
CI = 0.9973 % significance level α = 0.0027 % α = 0.000027 α/2 = 0.0000135
z = 0.00003375 ⇒ z = 0.00
NOTE: The value of α is too small. The Empirical Rule establishes that 99.7 % of all values in a normal distribution fall in the interval ( Z ± 3σ)
that means all the values. Then the probability of finding the random variable between that range is close to 1 and we can not find in tables a number to approximate just with only two decimal places
In a binomial experiment :________
a. the probability does not change from trial to trial
b. the probability does change from trial to trial
c. the probability could change from trial to trial, depending on the situation under consideration
d. None of these alternatives is correct.
Answer:
Hence the correct option is Option (a).
Step-by-step explanation:
Option (a) is correct.
The probability does not change from trial to trial.
p = Probability of sucess.
Find an equation for the line parallel to 3x-5y=2 with y-intercept (0,1/5). Write the answer in slope-intercept form.
What is 1/3 of 30% of 5/6 of 0.6 of 12?
Step-by-step explanation:
[tex] \frac{1}{3 } \times \frac{30}{1} = 10 \\ \\ \frac{10}{1} \times \frac{5}{6} = 8.33 \\ \\ \frac{833}{100} \times \frac{6}{10} = 4.998 \\ \\ \frac{4998}{1000} \times \frac{12}{1} = 59.976[/tex]
If 82 pages had between 7 and 9 errors, what was the approximate total number of pages in the book?
A: 202 pages
B: 120 pages
C: 68 pages
D: 56 pages
Answer:
120 pages
Step-by-step explanation:
The mean number of error per page = 8 ; Standard deviation = 1
Given that :
82 pages has between 7 and 9 errors per page ;
Using the empirical rule :
7 = 8 - 1 = 1 standard deviation below the mean
9 = 8 + 1 = 1 standard deviation above the mean
1 standard deviation from the mean = 68%
Hence, 82 pages = 68%
Approximate total pages :
68% = 82
100% = total pages, x
0.68 = 82
1 = x
0.68x = 82
x = 82 / 0.68
x = 120.588
Hence, total number of pages is 120 pages
PLease Help!! will mark brainilest!!
Answer:
(x+4)(x+6)
Step-by-step explanation:
(x^2+4x)+(6x+24)
x(x+4) 6(x+4)
(x+4) (x+6)
Help find instantaneous rate of change :)!
=========================================================
Explanation:
Let's say that point A is at (0,0) and B is somewhere else on the parabola.
I'll make point B go to the right of point A.
For now, let's say B is at (4,16).
If we compute the slope of line AB, then we find the average rate of change (AROC). The AROC in this case is (y2-y1)/(x2-x1) = (16-0)/(4-0) = 16/4 = 4. Because point A is at (0,0), we're really just computing y/x where the x,y values come directly from point B.
--------------
Now let's move B to (3,9). If we used the slope formula again, we would get the slope of 3. Note how y/x = 9/3 = 3.
Then let's move B to (2,4). The AROC is now y/x = 4/2 = 2
As B gets closer to A, the AROC is decreasing. The AROC is slowly approaching the IROC (instantaneous rate of change).
--------------
Point B is generally located at (x,x^2) for any real number x. Keeping A always fixed at the origin, the slope of line AB is y/x = (x^2)/x = x.
What does this all mean? It means that if x = 0, then the IROC is 0. You might be quick to notice that we cannot divide by zero. So instead of letting x be zero itself, we'll just get closer and closer to it. This is where the concept of limits come into use. This is what calculus is based on (both integral and differential calculus).
Anyway, when calculating the IROC, we're really calculating the slope of the tangent line to the f(x) curve. Refer to the diagram below.
----------------
In short, the slope of the tangent line at x = 0 is m = 0. We have a flat horizontal line that touches the parabola at (0,0).
The sides of a square field are 24 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.
Answer:
A
Step-by-step explanation:
i took the test
Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation. (PLZ HELP DUE SOON I GIVE BRAINLIST :D)
Answer:
[tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Tanθ=Opposite/Adjacent
we have the adjacent side but need the oppsoite
We will use a²+b²=c²
25²=7²+b²
576=b²
b=24
Therefore the answer is
[tex]\frac{24}{7}[/tex]
Paige and her family went to the movies. They bought 4 tickets and paid $12 for popcorn. They spent $40. How much did each ticket cost?
I need equation and cost :)
Answer:
Cost of tickets: $7. Equation: 40 = 4x + 12.
Step-by-step explanation:
Answer:
4*t +12 = 40
Each ticket cost 7 dollars
Step-by-step explanation:
tickets + popcorn = total cost
4*t +12 = 40
Subtract 12 from each side
4t +12-12 = 40-12
4t = 28
Divide by 4
4t/4 = 28/4
t = 7
Each ticket cost 7 dollars
Help me outtttttttttto
Answer:
,
Step-by-step explanation:
hear is your answer please give me Some thanks
whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a
Answer:
[tex]{(xy)}^{a} [/tex]
Step-by-step explanation:
when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.
Hope I get your question~
I NEEEEED HELP!!!!!!
[tex] {x}^{2} + 2x = 0[/tex]
Answer:
[tex]\textbf{Hello!}[/tex]
[tex]\Longrightarrow2^2+2z=0[/tex]
[tex]\Longrightarrow x_{1,\:2}=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:0}}{2\cdot \:1}[/tex]
[tex]\Longrightarrow \sqrt{2^2-4\cdot \:1\cdot \:0}[/tex]
[tex]\Longrightarrow =\sqrt{2^2-0}[/tex]
[tex]\Longrightarrow =\sqrt{2^2}[/tex]
[tex]\Longrightarrow=2[/tex]
[tex]\Longrightarrow x_{1,\:2}=\frac{-2\pm \:2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow x_1=\frac{-2+2}{2\cdot \:1},\:x_2=\frac{-2-2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow\frac{-2+2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{0}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{0}{2}[/tex]
[tex]=0[/tex]
[tex]\Longrightarrow\frac{-2-2}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{-4}{2\cdot \:1}[/tex]
[tex]\Longrightarrow =\frac{-4}{2}[/tex]
[tex]\Longrightarrow =-\frac{4}{2}[/tex]
[tex]=-2[/tex]
[tex]x=0,\:x=-2\Longleftarrow[/tex]
[tex]\underline{HOPE ~IT~HELPS}[/tex]
Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function
f (x)=6x+8
f(x+h)-f (x)/h =
Which of the following theorems verifies that DEF = XYZ?
Answer:
AA
Step-by-step explanation:
HL = requires actual measurements of sides
LL = There are no measurements for the legs
HL = There are no measurements for the legs or hypotenuse
HA = Doesn't exist
In an experiment, equal amounts of heated water and soil were left to cool down. The initial and final temperatures of each were recorded. A partial record of the temperature is shown. Experimental Record Substance Initial Temperature Final Temperature Water 27 °C 24 °C Soil 27 °C ? Which statement about the final temperature of soil is correct? (3 points) It will be less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Answer:less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Step-by-step explanation:
less than 24 °C as soil loses heat relatively faster than water. It will be less than 24 °C as water loses heat relatively faster than soil. It will be more than 24 °C as it takes relatively longer to change soil temperature than water temperature. It will be more than 24 °C as it takes relatively longer to change water temperature than soil temperature.
Anyone can help me ?
9514 1404 393
Answer:
∠x = 80°∠y = 40°∠z = 60°Step-by-step explanation:
The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...
x = 180° -100° = 80°
__
The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:
y = 40°
__
The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...
100° = 40° +z
z = 100° -40° = 60°
Please answer the following.
Answer:
[tex] \sqrt{4 \times 5 + \sqrt{4 \times 9} } [/tex]
solve for surface area
formula for cube:
SA = 2 (s times s) + (4s) ( H)
please help me please help me please help me please help me please help me please help me please
Answer:
Q3. 9
Q4. 6
Step-by-step explanation:
A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ .
c. Find the P-value; P-value = ____.d. State the conclusion.
Answer:
Step-by-step explanation:
The Hypothesis :
H0 : σ = 10
H1 : σ ≠ 10
The Chisquare statistic, χ² ;
χ² = [(n-1) * s²] ÷ σ²
Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10
χ² = [(44 - 1) * 10.7²] ÷ 10²
χ² = [43 * 114.49] ÷ 100
χ² = [4923.07] ÷ 100
χ² = 49.2307
Using the Pvalue from Chisquare calculator :
degree of freedom, df = n - 1 = 44 - 1 = 43
Pvalue = 0.238
Which of the following equations is NOT an example of inverse variation?
I. f(x)=kx
II. f(x)=2kx
f
(
x
)
=
2
k
x
III. f(x)=−kxz
Based on the equation,the equation which is not an inverse variation is f(x) = kx
Inverse variationf(x) = kx
= k × x
f(x) = 2k/x
= k(2/x)
f(x) = -kx/z
= k(-x/z)
Inverse variation is given by:
y = k(1/x)
where,
k = constant of proportionalityTherefore, f(x) = kx is not an inverse variation.
Learn more about inverse variation:
https://brainly.com/question/13998680
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Gasoline sells for 1.3 euros per liter. What is the price in US dollars per gallon? (recall that 1 gal = 3.785 L)
British pound is 1.212 to 0.8251 USD
4.67 $/gal is the price of gasoline.
Step-by-step explanation:
Given:
Price of gasoline = 1.3 €/L
1 gallon is equals to 3.785 Liters
1 euros is equals to 0.9497 US dollars
To find:
The price of gasoline in US dollars per gallon
Solution:
Price of the gasoline = 1.3 €/L
[tex]1 gal = 3.785 L\\1L=\frac{1}{3.785} gal\\ 1.3 euro /L=\frac{1.3 euro }{\frac{1}{3.785 }gal}\\=\frac{1.3 euro \times 3.785 }{1 gal}=4.9205 euro /gal[/tex]
Now convert euros to US dollars by using :
1 euros = 0.9497 $
The price of gasoline in US dollar per gallons:
[tex]4.9205 euro/gal=4.9205 \times 0.9497 \$/gal\\=4.6730 \$/gal\approx 4.67 \$/gal[/tex]
4.67 $/gal is the price of gasoline.
Learn more about conversions:
brainly.com/question/13076223
brainly.com/question/2904463?referrer=searchResults
what percentage of 7 1/2 is 2 1/2
Answer:
7+½ = (7*2+(1))/2=15/2
Step-by-step explanation:
2+½ =5/2 and. (15/2)/(5/2)=3. this means %33.3333
If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =
Answer:
[tex]{ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14[/tex]
25 POINTS!!!!!!
Which is true about the solution to the system of inequalities shown? y<1/3x-1
Answer:
All values that satisfy [tex]y[/tex] ≤ [tex]\frac{1}{3} x-3[/tex] are solutions
Step-by-step explanation:
The reason why the other equations solutions aren't solutions are because it doesn't satisfy the second equation, but the second equation satisfy both equations because the solutions of the second equations will be in both equations.
Hope this helps
if the bookstore pays $60 to the publisher what will be the selling price?
Answer:
This means that, when the price of a book from a publisher is $60, the bookstore will sell it for $88 to the students.
I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?
I need to show an equation that gives me the answer
Answer:
N=250
Step-by-step explanation:
"twice as many nickels as dimes" means N =2D [eq1]
"collection of nickels and dimes is worth $25" means
5N + 10D = 2500 [eq2]
(To avoid using decimal points, PLZ express everything in cents.)
Substitution (substitute N from eq1 into eq2]:
5(2D) + 10D = 2500
10D + 10D = 2500
20D = 2500
D = 125
N=2D [eq1 again]
N=2(125)
N=250
Check:
Is 5(250) + 10(125) = 2500 ?
1250 + 1250 = 2500 ?
2500 = 2500 ?yes
